Algorithms for Fast Computation of Cyclic Convolutions with the Notion of Discrete Signals Hypercomplex Numbers
It has been presented methods for the synthesis of algorithms of fast computing cyclic convolution of numeric array having length of 2n. These methods are based on the representation of special hypercomplex number systems that have such the isomorphic to them systems where performance of hypercomple...
Saved in:
| Date: | 2014 |
|---|---|
| Main Authors: | Kalinovsky, Ya. O., Sinkova, T. S. |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут проблем реєстрації інформації НАН України
2014
|
| Subjects: | |
| Online Access: | http://drsp.ipri.kiev.ua/article/view/100234 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Data Recording, Storage & Processing |
Institution
Data Recording, Storage & ProcessingSimilar Items
Study of Symmetries Operator of Isomorphism Hypercomplex Number Systems and Their Application for the Synthesis of Algorithms of Fast Calculations of Cyclic Convolution
by: Kalinovsky, Ya. O.
Published: (2014)
by: Kalinovsky, Ya. O.
Published: (2014)
The Structure of a Hyper Fast Calculation Method Linear Convolution of Discrete Signals
by: Калиновський, Я. О.
Published: (2013)
by: Калиновський, Я. О.
Published: (2013)
Recursive method for constructing linear convolution algorithms of various lengths using hypercomplex number systems.
by: Kalinovsky, Ya. A., et al.
Published: (2019)
by: Kalinovsky, Ya. A., et al.
Published: (2019)
The General Case of an Isomorphism of Commutative Hypercomplex Number Systems and Presentation of Exponential Functions in Them
by: Kalinovsky, Ja. A., et al.
Published: (2012)
by: Kalinovsky, Ja. A., et al.
Published: (2012)
Structure of an algoritsm for quick two-dimensional convolution by means of isomorphing hypercomplex numerical systems
by: Kalinovsky, Ya. A., et al.
Published: (2018)
by: Kalinovsky, Ya. A., et al.
Published: (2018)
Isomorphism of Commutative Hypercomplex Number Systems and Representations of Exponential Functions in Them
by: Каліновський, Я. О., et al.
Published: (2012)
by: Каліновський, Я. О., et al.
Published: (2012)
Method of hypercomplex numbers systems generation for modeling digital reversible filters of 4th order
by: Kalinovsky, Ya. A., et al.
Published: (2019)
by: Kalinovsky, Ya. A., et al.
Published: (2019)
Criteria Conceived Commutative Hypercomplex Number Systems Direct Sum of Low-Dimensional Systems
by: Kalinovsky, J. А.
Published: (2012)
by: Kalinovsky, J. А.
Published: (2012)
Construction of High-Dimensional Isomorphic Hypercomplex Number Systems
by: Боярінова, Ю. Є., et al.
Published: (2012)
by: Боярінова, Ю. Є., et al.
Published: (2012)
Dynamic network model based on the use of hypercomplex number systems
by: Ланде, Д. В., et al.
Published: (2020)
by: Ланде, Д. В., et al.
Published: (2020)
Development of representations of hyperbolic and trigonometric nonlinearities inside the system of generalized quaternions
by: Kalinovsky, Ya. O., et al.
Published: (2016)
by: Kalinovsky, Ya. O., et al.
Published: (2016)
Using fast algorithms for calculation of the correlation and convolution to prepare reference images
by: Tsybulska, Y. O.
Published: (2018)
by: Tsybulska, Y. O.
Published: (2018)
Hypercomplex Approach to Modeling of Reputation in Social Networks
by: Lande, D. V., et al.
Published: (2013)
by: Lande, D. V., et al.
Published: (2013)
A prediction of the frequency of non-periodic signals based on convolutional neural networks
by: Subbotin, S. A., et al.
Published: (2018)
by: Subbotin, S. A., et al.
Published: (2018)
Characterization of regular convolutions
by: Sagi, Sankar
Published: (2018)
by: Sagi, Sankar
Published: (2018)
Computing characteristics of one class of non-commutative hypercomplex number systems of 4-dimension
by: Kalinovsky, Ya. O., et al.
Published: (2014)
by: Kalinovsky, Ya. O., et al.
Published: (2014)
A study of algebraic and functional properties of generalized hyper-complex number systems of fourth dimension
by: Kalynovskyi, J. A., et al.
Published: (2017)
by: Kalynovskyi, J. A., et al.
Published: (2017)
Mathematical modeling representations of exponential and logarithmic functions in the hypercomplex numerical system of generalized quaternions
by: Kalinovsky, Ya. O., et al.
Published: (2015)
by: Kalinovsky, Ya. O., et al.
Published: (2015)
Cyclicity of Control Operations on an Arbitrary Modulus
by: Mаtоv, О. Ya., et al.
Published: (2013)
by: Mаtоv, О. Ya., et al.
Published: (2013)
Development and research of a modified convolutional neural network for malaria cell pattern recognition
by: Федорченко, Є. М., et al.
Published: (2023)
by: Федорченко, Є. М., et al.
Published: (2023)
Study of relations between the generalized quaternions and procedure of doubling of hypercomplex numerical systems
by: Kalinovsky, Ya. O., et al.
Published: (2015)
by: Kalinovsky, Ya. O., et al.
Published: (2015)
Application of non-canonical hypercomplex numerical systems to optimize total parametric sensitivity of reversible digital filters
by: Kalinovsky, Ya. O., et al.
Published: (2014)
by: Kalinovsky, Ya. O., et al.
Published: (2014)
Studying the Properties of a Single Hypercomplex Generalization of Quaternions
by: Turenko, A. S.
Published: (2014)
by: Turenko, A. S.
Published: (2014)
Hypercomplex Parametric Numerical System in the Mathematical Modeling
by: Klipkov, S. I.
Published: (2013)
by: Klipkov, S. I.
Published: (2013)
Improved ontological model of the knowledge base of the expert system for decision support in the field of digital processing and computer simulation of cyclic signals
by: Lupenko, Serhii A., et al.
Published: (2024)
by: Lupenko, Serhii A., et al.
Published: (2024)
Constructing representations of the logarithmic function in the same class of commutative hypercomplex numerical systems of fourth dimension
by: Kalinovskiy, J. A., et al.
Published: (2016)
by: Kalinovskiy, J. A., et al.
Published: (2016)
Cyclic left and torsion-theoretic spectra of modules and their relations
by: Maloid-Glebova, Marta
Published: (2016)
by: Maloid-Glebova, Marta
Published: (2016)
Factor Analysis Based on Association Rules
by: Zayko, T. A., et al.
Published: (2014)
by: Zayko, T. A., et al.
Published: (2014)
Investigation of properties of generalized hyper-number systems of the fourth order found with help of the Grassmann-Clifford doubling procedure
by: Kalinovsky, J. A., et al.
Published: (2016)
by: Kalinovsky, J. A., et al.
Published: (2016)
Features of representations of exponential functions in HNS of high dimensions by software of hypercomplex calculations
by: Боярінова, Ю. Є., et al.
Published: (2021)
by: Боярінова, Ю. Є., et al.
Published: (2021)
On the structure of the algebra of derivations of cyclic Leibniz algebras
by: Kurdachenko, L. A., et al.
Published: (2022)
by: Kurdachenko, L. A., et al.
Published: (2022)
Assessment of crack evolution under multi-mode cyclic loading based on material scattered damage analysis
by: Шульженко, Н. Г., et al.
Published: (2015)
by: Шульженко, Н. Г., et al.
Published: (2015)
Assessment of crack evolution under multi-mode cyclic loading based on material scattered damage analysis
by: Шульженко, Н. Г., et al.
Published: (2015)
by: Шульженко, Н. Г., et al.
Published: (2015)
Decision tree method for identification and classification of information signals
by: Волошко, А. В., et al.
Published: (2022)
by: Волошко, А. В., et al.
Published: (2022)
Distributed Transactions Modeling with the Use of Petri Nets
by: Iwaniak, M., et al.
Published: (2012)
by: Iwaniak, M., et al.
Published: (2012)
Людиноподібні діалогові агенти
by: Chmir, Igor Alexeevich
Published: (2014)
by: Chmir, Igor Alexeevich
Published: (2014)
Coloured Petri Net Model of Two-Phase Commit Protocol With Multiple Participants
by: Iwaniak, M., et al.
Published: (2013)
by: Iwaniak, M., et al.
Published: (2013)
The upper edge-to-vertex detour number of a graph
by: Santhakumaran, A. P., et al.
Published: (2018)
by: Santhakumaran, A. P., et al.
Published: (2018)
Connectivity and planarity of power graphs of finite cyclic, dihedral and dicyclic groups
by: Chattopadhyay, Sriparna, et al.
Published: (2018)
by: Chattopadhyay, Sriparna, et al.
Published: (2018)
System of hypercpomplex operations in Maple
by: Kalinovsky, J. А., et al.
Published: (2017)
by: Kalinovsky, J. А., et al.
Published: (2017)
Similar Items
-
Study of Symmetries Operator of Isomorphism Hypercomplex Number Systems and Their Application for the Synthesis of Algorithms of Fast Calculations of Cyclic Convolution
by: Kalinovsky, Ya. O.
Published: (2014) -
The Structure of a Hyper Fast Calculation Method Linear Convolution of Discrete Signals
by: Калиновський, Я. О.
Published: (2013) -
Recursive method for constructing linear convolution algorithms of various lengths using hypercomplex number systems.
by: Kalinovsky, Ya. A., et al.
Published: (2019) -
The General Case of an Isomorphism of Commutative Hypercomplex Number Systems and Presentation of Exponential Functions in Them
by: Kalinovsky, Ja. A., et al.
Published: (2012) -
Structure of an algoritsm for quick two-dimensional convolution by means of isomorphing hypercomplex numerical systems
by: Kalinovsky, Ya. A., et al.
Published: (2018)